Temat: analytic continuation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Continuation of holomorphic solutions to convolution equations in complex domains
Autorzy:: Ishimura, Ryuichi
Okada, Jun-ichi
Okada, Yasunori
Powiązania:: https://bibliotekanauki.pl/articles/1207967.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: convolution equation
analytic continuation
characteristic set
Opis:: For an analytic functional $S$ on $ℂ^n$, we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^n$. We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Źródło:: Annales Polonici Mathematici; 2000, 74, 1; 105-115
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Analytic continuation of solutions of some nonlinear convolution partial differential equations
Autorzy:: Tahara, H.
Powiązania:: https://bibliotekanauki.pl/articles/952828.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: convolution equations
partial differential equations
analytic continuation
summability
sector
Opis:: The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summa-bility theory of formal solutions of nonlinear partial differential equations. Under a suitable assumption it is proved that any local holomorphic solution has an analytic extension to a certain sector and its extension has exponential growth when the variable goes to infinity in the sector.
Źródło:: Opuscula Mathematica; 2015, 35, 5; 739-773
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The Lowner-Kufarev representations for domains with analytic boundaries
Autorzy:: Prokhorov, Dmitri
Powiązania:: https://bibliotekanauki.pl/articles/747254.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Lowner-Kufarev equation
analytic continuation
univalent polynomials
bounded univalent functions
Opis:: We consider the Lowner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Lowner-Kufarev chain consisting of univalent quadratic polynomials and compare the Lowner-Kufarev representations of bounded and arbitrary univalent functions.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: A screw dislocation located outside, inside or on the interface of a parabolic elastic inhomogeneity
Autorzy:: Wang, X.
Schiavone, P.
Powiązania:: https://bibliotekanauki.pl/articles/38627364.pdf
Data publikacji:: 2021
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: screw dislocation
parabolic elastic inhomogeneity
superposition
conformal mapping
analytic continuation
Opis:: Using conformal mapping techniques, superposition and analytic continuation, we derive analytic solutions to the problem of a screw dislocation interacting with a parabolic elastic inhomogeneity. The screw dislocation can be located anywhere either in the surrounding matrix or in the parabolic inhomogeneity or simply on the parabolic interface itself. We obtain explicit expressions for the two analytic functions in the image plane characterizing the elastic fields describing displacement and stresses in the two-phase composite. Using the Peach-Koehler formula, we also obtain the image force acting on the screw dislocation. The analytic function defined in the parabolic inhomogeneity in the physical plane can be interpreted in terms of real and image screw dislocations for any location of the real screw dislocation.
Źródło:: Archives of Mechanics; 2021, 73, 3; 219-235
0373-2029
Pojawia się w:: Archives of Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: On the summability of divergent power series solutions for certain first-order linear PDES
Autorzy:: Hibino, M.
Powiązania:: https://bibliotekanauki.pl/articles/255352.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: partial differential equation
divergent power series
summability
asymptotic expansion
analytic continuation
integro-differential equation
integral equation
Opis:: This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of equations should satisfy in order to ensure the Borel summability of divergent solutions. We will see that there is a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients of equations.
Źródło:: Opuscula Mathematica; 2015, 35, 5; 595-624
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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